login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A077637
Largest term in periodic part of continued fraction expansion of square root of A051451(n), i.e., sqrt(lcm(1..x)) where x is a prime power from A000961.
3
0, 2, 4, 6, 14, 40, 56, 100, 332, 1200, 1696, 7000, 30514, 146344, 327236, 566792, 3052270, 16994324, 24033604, 146190716, 936077324, 6138269514, 42081855636, 111338124722, 810553782854, 6225981742592, 48626471887292, 68768216033362, 562892107725410, 4743013205833238
OFFSET
1,2
LINKS
EXAMPLE
For A051451(10) = 360360, the periodic part is {3,2,1,132,1,2,3,1200} with 1200 as largest term, so a(10) = 1200.
MATHEMATICA
t={A051451(n)} Table[Max[Last[ContinuedFraction[Sqrt[Part[t, u]]]]], {u, 1, 24}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Labos Elemer, Nov 13 2002
EXTENSIONS
a(25)-a(28) from Ray Chandler, Jan 16 2009
a(1) corrected and a(29)-a(30) added by Chai Wah Wu, Sep 20 2021
STATUS
approved